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Finding the Fourth Proportional to 18,142.11, 25,034.40 and 10,182.78

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Solution

The fourth proportional to 18,142.11, 25,034.40 and 10,182.78 is: 14,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.11 : 25,034.40 = 10,182.78 : x
  2. Step 2: Convert to fraction form
    18,142.11/25,034.40 = 10,182.78/x
  3. Step 3: Cross multiply
    18,142.11x = 25,034.40 × 10,182.78
  4. Step 4: Simplify right side
    18,142.11x = 254,919,787.63
  5. Step 5: Solve for x
    x = 254,919,787.63/18,142.11
  6. Step 6: Final answer
    x = 14,051.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.